211314140100 has 216 divisors, whose sum is σ = 757263282048. Its totient is φ = 48281932800.

The previous prime is 211314140047. The next prime is 211314140117. The reversal of 211314140100 is 1041413112.

211314140100 is a `hidden beast` number, since 21 + 131 + 414 + 0 + 100 = 666.

211314140100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23122732 + ... + 23131868.

It is an arithmetic number, because the mean of its divisors is an integer number (3505848528).

Almost surely, 2^211314140100 is an apocalyptic number.

211314140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211314140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378631641024).

211314140100 is an abundant number, since it is smaller than the sum of its proper divisors (545949141948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211314140100 is a wasteful number, since it uses less digits than its factorization.

211314140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12835 (or 12825 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211314140100 its reverse (1041413112), we get a palindrome (212355553212).

The spelling of 211314140100 in words is "two hundred eleven billion, three hundred fourteen million, one hundred forty thousand, one hundred".